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Transient Anomaly Imaging in Visco-Elastic Media Obeying a Frequency Power-Law

Analysis of PDEs 2015-05-19 v1 Numerical Analysis Classical Physics Medical Physics

Abstract

In this work, we consider the problem of reconstructing a small anomaly in a viscoelastic medium from wave-field measurements. We choose Szabo's model to describe the viscoelastic properties of the medium. Expressing the ideal elastic field without any viscous effect in terms of the measured field in a viscous medium, we generalize the imaging procedures, such as time reversal, Kirchhoff Imaging and Back propagation, for an ideal medium to detect an anomaly in a visco-elastic medium from wave-field measurements.

Keywords

Cite

@article{arxiv.1005.5594,
  title  = {Transient Anomaly Imaging in Visco-Elastic Media Obeying a Frequency Power-Law},
  author = {Elie Bretin and Lili Guadarrama Bustos and Abdul Wahab},
  journal= {arXiv preprint arXiv:1005.5594},
  year   = {2015}
}